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I have run several Chi-square tests and want a measure of effect size. I have some 1x2 tables, 1x4 tables, 4x9, and 3x4 tables of frequency data.

What measure of effect size can I use on these rectangular frequency tables, if each cell has a different expected frequency?

(I would like to use something like Cramer's V, but it only applies to tables with the same expected frequencies.)

Sample data: two groups, 'false' observes 535 (expected: 3/4), 'true' observes 222 (expected: 1/4).

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  • $\begingroup$ I think you're wrong about Cramer's $V$ requiring equal expected frequencies...Do you have a source to support your claim? I can't find any myself, and the formula certainly doesn't require equal frequencies to produce a result. $\endgroup$ Jan 29, 2014 at 9:43

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Actually Cramer's V will work for non-square tables. See Measures of Association or Wikipedia

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  • $\begingroup$ My fault. I meant that it does not work for non-square tables with different expected frequencies. I have edited the original question. $\endgroup$ Jul 14, 2011 at 14:27

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